8(12-k)=3(k+2)

Solution for 8(12-k)=3(k+2) equation:

Simplifying
8(12 + -1k) = 3(k + 2)
(12 * 8 + -1k * 8) = 3(k + 2)
(96 + -8k) = 3(k + 2)

Reorder the terms:
96 + -8k = 3(2 + k)
96 + -8k = (2 * 3 + k * 3)
96 + -8k = (6 + 3k)

Solving
96 + -8k = 6 + 3k

Solving for variable 'k'.

Move all terms containing k to the left, all other terms to the right.

Add '-3k' to each side of the equation.
96 + -8k + -3k = 6 + 3k + -3k

Combine like terms: -8k + -3k = -11k
96 + -11k = 6 + 3k + -3k

Combine like terms: 3k + -3k = 0
96 + -11k = 6 + 0
96 + -11k = 6

Add '-96' to each side of the equation.
96 + -96 + -11k = 6 + -96

Combine like terms: 96 + -96 = 0
0 + -11k = 6 + -96
-11k = 6 + -96

Combine like terms: 6 + -96 = -90
-11k = -90

Divide each side by '-11'.
k = 8.181818182

Simplifying
k = 8.181818182